This kind of comment is deeply upsetting. It reduces people to stereotypes based on their race and suggests that someone's ethnicity should determine whether they're "allowed" to work a particular job. That's not clever or edgyβit's prejudice.
No one should be judged as more or less qualified, welcome, or authentic because of the color of their skin or their ethnic background. If the races were reversed, most people would immediately recognize how unacceptable this would be. The same standard should apply here.
We can appreciate and support authentic cultural businesses without mocking or excluding people based on their race. Tweets like this only encourage division and normalize discrimination.